Submitter Variables Constraints Density Status Group Objective MPS File
A. Caprara, M. Fischetti, P. Toth 24656 4875 1.82001e-03 open core 1537 core4872-1529.mps.gz

Set covering instance coming from Italian railway models

Imported from MIPLIB2010.

Instance Statistics

Detailed explanation of the following tables can be found here.

Size Related Properties
Original Presolved
Variables 24656 24588
Constraints 4875 4696
Binaries 24645 24588
Integers 0 0
Continuous 11 0
Implicit Integers 0 0
Fixed Variables 0 0
Nonzero Density 0.00182001 0.00164748
Nonzeroes 218762 190227
Constraint Classification Properties
Original Presolved
Total 4875 4696
Empty 0 0
Free 0 0
Singleton 59 0
Aggregations 0 0
Precedence 0 0
Variable Bound 64 53
Set Partitioning 0 0
Set Packing 0 0
Set Covering 4749 4642
Cardinality 0 0
Invariant Knapsack 1 1
Equation Knapsack 0 0
Bin Packing 0 0
Knapsack 0 0
Integer Knapsack 0 0
Mixed Binary 2 0
General Linear 0 0
Indicator 0 0

Structure

Available nonzero structure and decomposition information. Further information can be found here.

value min median mean max
Components 0.602060
Constraint % 0.362010 33.3262 4.19506 95.4216
Variable % 0.133934 33.2643 3.54316 96.1159
Score 0.081142

Best Known Solution(s)

Find solutions below. Download the archive containing all solutions from the Download page.

ID Objective Exact Int. Viol Cons. Viol Obj. Viol Submitter Date Description
1 1537 1537 0 0 0 - 2018-10-12 Solution found during MIPLIB2017 problem selection.

Similar instances in collection

The following instances are most similar to core4872-1529 in the collection. This similarity analysis is based on 100 scaled instance features describing properties of the variables, objective function, bounds, constraints, and right hand sides.

Instance Variables Binaries Integers Continuous Constraints Nonz. Submitter Group Status Objective
core4284-1064 21714 21705 0 9 4287 245121 A. Caprara, M. Fischetti, P. Toth core open 1067*
core2586-950 13226 13215 0 11 2589 104678 A. Caprara, M. Fischetti, P. Toth core open 950*
core2536-691 15293 15284 0 9 2539 177739 A. Caprara, M. Fischetti, P. Toth core easy 689
rail507 63019 63009 0 10 509 468878 A. Caprara, M. Fischetti, P. Toth easy 174
ex1010-pi 25200 25200 0 0 1468 102114 M. Winkler open 239*

Reference

@article{CapraraFischettiToth1999,
 author = {A. Caprara and M. Fischetti and P. Toth},
 instance = {core4872-1529},
 journal = {Operations Research},
 language = {English},
 pages = {730--743},
 title = {A heuristic method for the set covering problem},
 volume = {47},
 year = {1999}
}

Last Update Nov 09, 2018 by Gregor Hendel
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